10022202122101 has 16 divisors (see below), whose sum is σ = 10842692089600. Its totient is φ = 9208808958528.

The previous prime is 10022202122089. The next prime is 10022202122113. The reversal of 10022202122101 is 10122120222001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10022202122089) and next prime (10022202122113).

It is a cyclic number.

It is not a de Polignac number, because 10022202122101 - 2⁷ = 10022202121973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022202122501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13043860 + ... + 13790818.

It is an arithmetic number, because the mean of its divisors is an integer number (677668255600).

Almost surely, 2^{10022202122101} is an apocalyptic number.

It is an amenable number.

10022202122101 is a deficient number, since it is larger than the sum of its proper divisors (820489967499).

10022202122101 is a wasteful number, since it uses less digits than its factorization.

10022202122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751708.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10022202122101 its reverse (10122120222001), we get a palindrome (20144322344102).

The spelling of 10022202122101 in words is "ten trillion, twenty-two billion, two hundred two million, one hundred twenty-two thousand, one hundred one".